Product decompositions of quasirandom groups and a Jordan type theorem

We first note that a result of Gowers on product-free sets in groups has an unexpected consequence: If k is the minimal degree of a representation of the finite group G, then for every subset B of G with $|B| > |G| / k^{1/3}$ we have B^3 = G. We use this to obtain improved versions of recen...

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Hlavní autoři: Nikolov, N, Pyber, L
Médium: Journal article
Jazyk:English
Vydáno: 2007